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In complex engineered systems, completing an objective is sometimes not enough. The system must be able to reach a set performance characteristic, such as an unmanned aerial vehicle flying from point A to point B, \textit{under 10 seconds}.…

Optimization and Control · Mathematics 2015-06-03 Manan Gandhi

We prove a Pontryagin Maximum Principle for optimal control problems in the space of probability measures, where the dynamics is given by a transport equation with non-local velocity. We formulate this first-order optimality condition using…

Optimization and Control · Mathematics 2020-02-28 Benoît Bonnet , Francesco Rossi

Overactuated omnidirectional flying vehicles are capable of generating force and torque in any direction, which is important for applications such as contact-based industrial inspection. This comes at the price of an increase in model…

Robotics · Computer Science 2020-06-24 Weixuan Zhang , Maximilian Brunner , Lionel Ott , Mina Kamel , Roland Siegwart , Juan Nieto

Effective inclusion of physics-based knowledge into deep neural network models of dynamical systems can greatly improve data efficiency and generalization. Such a-priori knowledge might arise from physical principles (e.g., conservation…

Machine Learning · Computer Science 2022-12-13 Franck Djeumou , Cyrus Neary , Eric Goubault , Sylvie Putot , Ufuk Topcu

We study a dynamic stochastic control problem subject to Knightian uncertainty with multi-objective (vector-valued) criteria. Assuming the preferences across expected multi-loss vectors are represented by a given, yet general, preorder, we…

Optimization and Control · Mathematics 2024-07-02 Igor Cialenco , Gabriela Kováčová

We study the tracking of a trajectory for a nonholonomic system by recasting the problem as a constrained optimal control problem. The cost function is chosen to minimize the error in positions and velocities between the trajectory of a…

Optimization and Control · Mathematics 2020-01-29 Leonardo J. Colombo , David Martín de Diego , Aradhana Nayak , Rodrigo T. Sato Martín de Almagro

This paper proposes a solution for multiple-impulse orbital maneuvers near circular orbits for special cases where orbital observations are not globally available and the spacecraft is being observed through a limited window from a ground…

Optimization and Control · Mathematics 2020-06-02 Amir Shakouri , Seid H. Pourtakdoust , Mohammad Sayanjali

A new method for the simulation of evolving multi-domains problems has been introduced in previous works (RealIMotion), Florez et al. (2020) and further developed in parallel in the context of isotropic Grain Growth (GG) with no…

Computational Engineering, Finance, and Science · Computer Science 2021-06-23 Sebastian Florez , Karen Alvarado , Marc Bernacki

Physics-informed machine learning surrogates are increasingly explored to accelerate dynamic simulation of generators, converters, and other power grid components. The key question, however, is not only whether a surrogate matches a…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Petros Ellinas , Indrajit Chaudhuri , Johanna Vorwerk , Spyros Chatzivasileiadis

We study three different experiments that involve dry friction and periodic driving, and which employ both single and many-particle systems. These experimental set-ups, besides providing a playground for investigation of frictional effects,…

Statistical Mechanics · Physics 2022-04-29 Soumen Das , Shankar Ghosh , Shamik Gupta

We investigate variants of Goddard's problems for nonvertical trajectories. The control is the thrust force, and the objective is to maximize a certain final cost, typically, the final mass. In this report, performing an analysis based on…

Optimization and Control · Mathematics 2009-04-20 Frédéric Bonnans , Pierre Martinon , Emmanuel Trélat

Neural surrogates promise large speedups over classical solvers for physical dynamics but fail silently at sharp dynamical events such as shocks, fronts, and contact. We present hybrid neural world models for physical dynamics: a recipe for…

Machine Learning · Computer Science 2026-05-28 Pranav Lakshmanan , Paras Chopra

We propose a Koopman operator-based surrogate model for propagating parameter uncertainties in power system nonlinear dynamic simulations. First, we augment the a priori known state-space model by reformulating parameters deemed uncertain…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Yijun Xu , Marcos Netto , Lamine Mili

Efficient trajectory generation is crucial for autonomous systems; however, current numerical methods often struggle to handle periodic behaviors effectively, particularly when the onboard sensors require equidistant temporal sampling. This…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Liraz Mudrik , Sean Kragelund , Isaac Kaminer

This work presents a computationally lightweight motion planner for over-actuated platforms. For this purpose, a general state-space model for mobile platforms with several kinematic chains is defined, which considers non-linearities and…

Robotics · Computer Science 2023-04-26 G. J. Paz-Delgado , C. J. Pérez-del-Pulgar , M. Azkarate , F. Kirchner , A. García-Cerezo

Obstacle avoidance for DMPs is still a challenging problem. In our previous work, we proposed a framework for obstacle avoidance based on superquadric potential functions to represent volumes. In this work, we extend our previous work to…

Robotics · Computer Science 2021-02-26 Michele Ginesi , Daniele Meli , Andrea Roberti , Nicola Sansonetto , Paolo Fiorini

The kinematics and dynamics of deterministic physical systems have been a foundation of our understanding of the world since Galileo and Newton. For real systems, however, uncertainty is largely present via external forces such as friction…

Statistical Mechanics · Physics 2018-06-13 Alejandra Montecinos , Sergio Davis , Joaquín Peralta

This paper introduces a novel attitude controller for spacecraft subject to actuator saturation and multiple exclusion cone constraints. The proposed solution relies on a two-layer approach where the first layer prestabilizes the system…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Marco Nicotra , Dominic Liao-McPherson , Laurent Burlion , Ilya Kolmanovsky

Characterizing the interior structure of exoplanets is an inverse problem often solved using Bayesian inference, but this approach is hampered by the high computational cost of planetary structure models. To overcome this barrier, we…

Earth and Planetary Astrophysics · Physics 2025-12-22 Tijn De Wringer , Caroline Dorn , Emily O. Garvin , Stefano Marelli

Orbits of celestial objects, especially the geocentric and heliocentric ones, have been well explored to constrain new long-range forces beyond the Standard Model (SM), often referred to as fifth forces. In this paper, for the first time,…

High Energy Physics - Phenomenology · Physics 2024-09-18 Praniti Singh , Shi Yan , Itamar J. Allali , JiJi Fan , Lingfeng Li